Description

• Title:
  Infinitely many periodic solutions of Duffing equations under integral condition
• Creator:
  Zheng, Nannan;
  Wang, Zaihong
• Description:
  In this paper, we study the multiplicity of periodic solutions of a Duffing equation $$ x''+g(x)=p(t). $$% By using the generalized Poincaré-Birkhoff fixed point theroem, we prove that this equation has infinitely many periodic solutions provided $g$ satisfies a kind of integral condition and the related time map satisfies oscillating condition.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.12.18
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 57, No 1 (March 2021); 297 - 315;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.017/27450 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2020.017/27451
• Subject:
  Duffing equation;
  periodic solution;
  Poincaré-Birkhoff fixed point theorem;
  Primary;
  34C25;
  Secondary;
  34C15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.017
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other